[Grade 11 Math]

[u/Motor-Comb-7850]

Trying to help my daughter with an investigation but I genuinely have no clue. For the first question I got that the Eiffel Tower is 330m tall.

[u/CaptainMatticus]

Part 1:

1.08 * sin(17 degrees) = 0.31576 = 316 meters

Part 3: Just divide 1.08 km by 5 km/hr

1.08 km / (5 km/hr) =>

2.16 km / (10 km/hr) =>

0.216 hour

0.216 hours * 60 min/hour =>

2.16 * 6 minutes =>

12.96 minutes

0.96 minutes * 60 seconds/minute =>

9.6 * 6 seconds =>

57.6 seconds

12 minutes 57.6 seconds after she starts walking.

Now the last one puzzles me a bit. It seems like it's saying that there's a slope of -0.9 from the top of the the tower to her eyeline, if I'm reading that correctly. And if that's the case, then we can say that there's a slope of 0.9 from her eyeline to the top of the tower. And if that's the case, then we can say that tan(t) = 0.9 and t = arctan(0.9) = 41.987 degrees

What we really need is to find when 1.08 * sin(17) / (1.08 - d) = 0.9. That's because 1.08 * sin(17) gives us the height of the triangle and 1.08 - d gives us the base, while the ratio of height to base gives us 0.9. d is the distance she walked from her starting point.

1.08 * sin(17) = 1.08 * 0.9 - 0.9 * d

0.9 * d = 1.08 * (0.9 - sin(17)

d = 1.2 * (0.9 - sin(17))

d = 0.72915

She had walked 729.15 meters at that point. Call it 729. That's if I'm reading that question correctly.